Phenomenological Magnetic Model in Tsai-Type Approximants

Pad e-type approximants and errors of Pad e approximants

The Brezinski’s idea of using Pad e-type approximants to estimate errors of Pad e approximants is considerably developed. A new, more e ective method based on this idea is presented and illustrated by numerical examples. c © 1998 Elsevier Science B.V. All rights reserved. AMS classi cation: 41A21

magnetic resonance imaging in dentistry

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Pad E Type Approximants with Preassigned Zeros

Padé Approximants to Certain Elliptic-type Functions

Given non-collinear points a1, a2, a3, there is a unique compact ∆ ⊂ C that has minimal logarithmic capacity among all continua joining a1, a2, and a3. For a complex-valued non-vanishing Dinicontinuous function h on∆, we define fh (z) := 1 πi ∫ ∆ h(t ) t − z d t w+(t ) ,

Convergence of Multipoint Padé-type Approximants

Let µ be a finite positive Borel measure whose support is a compact subset K of the real line and let I be the convex hull of K. Let r denote a rational function with real coefficients whose poles lie in C \ I and r(∞) = 0. We consider multipoint rational interpolants of the function f (z) = dµ(x) z − x + r(z), where some poles are fixed and others are left free. We show that if the interpolati...